Geodesic
α-Derivations
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 481-489

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DOI

Let A be a commutative k-algebra with 1. We present a characterization of α-derivations, for α: A →> A a morphism of algebras, using α-Taylor series. When S = C[x,x-1,ξ] and α(x) = qx, α(ξ) = qξ, we compare the q-de Rham cohomology of the C-algebra S with the Hochschild homology of Dq , the algebra of q-difference operators on C[x,x -1], for q ∊ C, q ≠ 0,1.
DOI : 10.4153/CMB-1995-070-2
Mots-clés : 16E40, 16U20 
Redondo, María Julia. α-Derivations. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 481-489. doi: 10.4153/CMB-1995-070-2
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     author = {Redondo, Mar{\'\i}a Julia},
     title = {\ensuremath{\alpha}-Derivations},
     journal = {Canadian mathematical bulletin},
     pages = {481--489},
     year = {1995},
     volume = {38},
     number = {4},
     doi = {10.4153/CMB-1995-070-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-070-2/}
}
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